The driver is responsible for any alleged infringement, by reading the signs and entering into a contract.
The liability can be transferred to the registered keeper if the requirements of the Protection of Freedoms Act 2012 are complied with. One option is for the registered keeper to nominate the driver within 28 days of the alleged contravention.
This time has now long passed, so the parking company will likely maintain that the registered keeper is now liable to pay the fee, which is an invoice for parking under the terms displayed.
VCS are especially litigious and will likely pursue you for payment. However some of this is guesswork, so let’s wait until you’re able to provide more details. Look up “Jake Burgess”, for example.